document.write( "Question 1183648: The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 receiving-sets at random and inspects them thoroughly. Assuming that 5 of the 50 receiving-sets in the current lot are defective, find the probability that exactly 3 of the 4 receiving-sets selected by the engineer are defective. \n" ); document.write( "

Algebra.Com's Answer #814062 by ikleyn(52898) $\"\"$ $\"About$

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\n" ); document.write( "The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50.
\n" ); document.write( "He selects 4 of the 50 receiving-sets at random and inspects them thoroughly.
\n" ); document.write( "Assuming that 5 of the 50 receiving-sets in the current lot are defective, find the probability
\n" ); document.write( "that exactly 3 of the 4 receiving-sets selected by the engineer are defective.
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document.write( "P =  =  =  =  = 0.001954.      ANSWER\r\n" );
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document.write( "The numerator of P,  ,  is the number of favorable combinations of 4 of the 50 receiving-sets, \r\n" );
document.write( "that contain exactly 3 defective receiving-sets and one good receiving-set.\r\n" );
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document.write( "It is the favorable set.\r\n" );
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document.write( "The denominator is the total number of 4 receiving-sets selected by the engineer from 50 receiving-sets.\r\n" );
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document.write( "The probability, as always in such problem, is the ratio  .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations REVISITED \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Solved problems on Probability\". \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, a Solutions Manual, tutorials and (free of charge) home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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